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DEFINING MEMES
Presented By:
Dr. Robert Finkelstein
President, Robotic Technology Inc.
11424 Palatine Drive
Potomac, MD 20854-1451
Phone: 301-983-4194 ; Fax: 301-983-3921
Presented To:
The Second Symposium on Memetics
Memory, Social Networks, and Language
Probing the Meme Hypothesis II
Victoria College, University of Toronto
15-17 May 2008
MEMETICS AS A SCIENTIFIC DISCIPLINE
Since Dawkins‟ revelation
Coterie of proponents, skeptics,
opponents
No coherent, well-funded,
significant development of
concept
No refutation
Memetics needs
A general theory – a theoretical
foundation for development of a
scientific discipline, not pseudo-
science
Better focus, pragmatic definition
Ability to make testable
predictions & falsifiable
hypotheses
MEMETICS AS A SCIENTIFIC DISCIPLINE
The discrete meme must be
defined, identified, and
distinguished in the near-
continuum of information
Just as the discrete gene can be
identified (more or less) in long
string of DNA nucleotides
Quantitative basis for memes
must be established, e.g.,
Physiological effects
Information theory and entropy
Genetic, memetic, and
evolutionary algorithms
Modeling and simulation
Neuroeconomics tools
WHY DEFINE MEMES?
Some say a crisp definition of
“unit of information” or “unit of
cultural transmission” is not
critical to a theory of memes
E.g., Darwin‟s Theory of Evolution
was scientifically useful before
anyone knew about genes and
DNA
But a pragmatic definition and
associated metrics would provide
a better foundation for research
and the ability to make testable
predictions and falsifiable
hypotheses, and control effects
Which DNA and genetic
engineering now provides to
Darwin‟s Theory
Memetic engineering or applied
memetics
MEME DEFINITIONS
Extensive memetics literature reveals a plethora of definitions for the
meme, with most being variations of Dawkins original notion
Most agree that a meme is a unit (whatever that means) of cultural
transmission (or a unit of information - whatever that means), where
culture may be defined as the total pattern of behavior (and its products) of
a population of agents, embodied in thought, behavior, and artifacts, and
dependent upon the capacity for learning and transmitting knowledge to
succeeding generations
None of these definitions is sufficient to allow a meme to be clearly
recognized or measured
EXAMPLE EXTANT MEME DEFINITIONS
A self-reproducing and propagating
information structure analogous to a
gene in biology
A unit of cultural transmission (or a unit
of imitation) that is a replicator that
propagates themselves in the meme
pool leaping from brain to brain via (in
a broad sense) imitation; examples:
“tunes, ideas, catch-phrases, clothes
fashions, ways of making pots or of
building arches”
Ideas that program for their own
retransmission or propagation
Actively contagious idea or thought
Shared elements of a culture learned
through imitation from others – with
culture being defined rather broadly to
include ideas, behaviors, and physical
objects
EXAMPLE EXTANT MEME DEFINITIONS
An element of a culture that may be
considered to be passed on by non-
genetic means, especially imitation
Whatever is passed on by imitation
Constellations of activated and non-
activated synapses within neural
memory networks
Information patterns infecting human
minds
While the internal meme is equivalent
to the genotype, its expression in
behavior (or the way it affects things
in its environment) is its phenotype
“It Ain‟t Over „Till The Fat Lady Sings”
EXAMPLE EXTANT MEME DEFINITIONS
Any information that is copied from
person to person or between books,
computers, or other storage devices.
Many mental contents are not
memes because they are not
acquired by imitation or copying,
including perceptions, visual
memories, and emotional feelings.
Skills or knowledge acquired by
ordinary learning are not memes
A unit of cultural information; a piece
of knowledge, an idea [with an
anchor, carrier, and payload]
Biological Definition: Basic unit of
cultural transmission, or imitation
Psychological definition: The unit of
cultural heredity analogous to the
gene; the internal representation of
knowledge
EXAMPLE EXTANT MEME DEFINITIONS
Cognitive definition: An idea, the
kind of complex idea that forms itself
into a distinctive memorable unit,
spread by vehicles that are physical
manifestations of the meme
Working definition: A unit of
information in a mind whose
existence influences events such
that more copies of itself get created
in other minds
A memory item, or portion of an
organisms neurally-stored
information, identified using the
abstraction system of the observer,
whose instantiation depended
critically on causation by prior
instantiation of the same memory
item in one or more other organisms‟
nervous systems
EXAMPLE EXTANT MEME DEFINITIONS
A heterogeneous class of
entities, primarily including
(observable) behavior and
artifacts
An element of culture that may
be considered to be passed on
by non-genetic means,
especially imitation
The least unit of socio-cultural
information relative to a
selection process that has
favorable or unfavorable
selection bias that exceeds its
endogenous tendency to
change
EXAMPLE EXTANT MEME DEFINITIONS
Cultural replicators propagated through
imitation, undergoing a process of
selection, and standing to be selected not
because they benefit their human carriers,
but because they benefit themselves
A symbolic representation of any state of
affairs, either internal and implemented in
the mind or external implemented in an
external (non-mental) objects such as
artifacts, products, behaviors
Replicating conceptual units – the largest
reliably replicating unit within our text
corpus
A (cognitive) information-structure able to
replicate using human hosts and to
influence their behavior to promote
replication
EXAMPLE EXTANT MEME DEFINITIONS
Cultural information units that are the
smallest elements that replicate
themselves with reliability and
fecundity
A rule of behavior, encoded by
functional neuronal groups or
pathways. [Behavior is action, whether
mental or physical. Ideas such as tying
shoe-laces or opening a door represent
rules of physical action, i.e., rules of
patterned neural-muscular interaction.
Concepts such as apple, seven, or
causality, represent rules of mental
action, or rules of cognition, i.e., rules
of patterned neural-neural interaction.
Hence, physical movement is governed
by memes which represent rules of
physical action and thought is
governed by memes which represent
rules of mental action]
EXAMPLE EXTANT MEME DEFINITIONS
Any kind, amount, and
configuration of information in
culture that shows both variation
and coherent transmission
A pattern of information (a state
within a space of possible states)]
A unit of cultural information as it
is represented in the brain
An idea, behavior, style, or usage
that spreads from person to
person within a culture
EXAMPLE EXTANT MEME DEFINITIONS
A unit of information residing in
a brain
An observable cultural
phenomenon, such as a
behavior, artifact or an objective
piece of information, which is
copied, imitated or learned, and
thus may replicate within a
cultural system. Objective
information includes
instructions, norms, rules,
institutions and social practices
provided they are observable
A pattern of information, one
that happens to have evolved a
form which induces people to
repeat that pattern
EXAMPLE EXTANT MEME DEFINITIONS
A contagious information pattern that replicates
by parasitically infecting human minds and
altering their behavior, causing them to propagate
the pattern. Individual slogans, catch-phrases,
melodies, icons, inventions, and fashions are
typical memes. An idea or information pattern is
not a meme until it causes someone to replicate it,
to repeat it to someone else. All transmitted
knowledge is memetic
The smallest idea that can copy itself while
remaining self contained and intact … essentially
sets of instructions that can be followed to
produce behavior. Instructions can be encoded in
either: 1) musical notation; 2) written text; 3)
visible (or vocal) action; 4) the neural structure of
the brain; 5) digitized structures in a computer
The least unit of socio-cultural information
relative to a selection process that has favorable
or unfavorable selection bias that exceeds its
endogenous tendency to change
OUR PRAGMATIC DEFINITION OF MEME
We created a pragmatic
definition of a meme
To elicit comments and
improvements
Eventually converge to a
canonical definition that
will be useful in
establishing a scientific
basis for memetics
OUR PRAGMATIC DEFINITION OF MEME
A meme is information transmitted by one or more primary sources to
recipients who, as secondary sources, retransmit the information to at
least an order of magnitude more recipients than primary sources,
where propagation persists at least ten hours and the information has
observable impact in addition to its transmission
To distinguish a meme from other sorts of information (e.g., from common
daily utterances), we invoke an order of magnitude rule and place an
emphasis on the necessity of a threshold for propagation and persistence
OUR PRAGMATIC DEFINITION OF MEME
Information: Claude Shannon‟s
definition: information is that which
reduces uncertainty
The difference between two states
of uncertainty before and after a
message has been received
A message carries information
inasmuch as it conveys something
not already known
The same message can have
different influence or impacts,
depending on the states of the
recipients; a meme, as a subset of
information, could have different
consequences for different
recipients
MEMETIC METRICS AND SUBMETRICS
MEMETIC METRICSMEMETIC METRICS
PROPAGATION PERSISTENCE ENTROPY IMPACT
Number OfRecipients
Type OfRecipients
Dispersion OfRecipients
Duration OfTransmission
Duration OfMemory
Small<100K Bits
Medium<100M Bits
Large>100M Bits
IndividualConsequence
SocietalConsequence
We defined metrics and submetrics for evaluating memes
CHARACTERIZATION OF MEME PROPAGATION AND
PERSISTENCE (MINIMUMS)
LEVEL
(Order of Magnitude)
PROPAGATION
(NO. OF PEOPLE)
PERSISTENCE
No. Hours No. Years
EXAMPLE CHARACTERIZATION
(Minimal Meme)
0 1 1 Origin of meme
1 10 10 Neighborhood gossip
2 100 100 Newspaper article
3 1,000 1000 0.1 Urban legend
4 10,000 10000 1 Cookbook
5 100,000 100000 10 Fundamentalist insurgency
6 1,000,000 1000000 100 Political ideology
7 10,000,000 10000000 1,000 Major religious canon
8 100,000,000 100000000 10,000 Instructions on growing wheat
9 1,000,000,000 1000000000 100,000 Human burial ritual
10 10,000,000,000 10000000000 1,000,000 Instructions on making flint cutting tool
ENTROPY AND INFORMATION
Entropy as a metric of
information: Claude Shannon‟s
mathematical theory of
communication measures the
amount of information in any
message using a function
identical to that of Boltzmann‟s
formulation of entropy
The use of this entropy is
noncontroversial as long as it is
used to measure the freedom of
choice in messages and not
semantic content (i.e., a specific
message is selected from a
larger set)
ENTROPY AND INFORMATION Example: information (entropy) needed to select one word out of a
vocabulary of 200 words is 7.6 bits (S = log2 200 = 7.6 bits)
That is, the word is within the first 100 words or the second 100 words
It takes one bit to determine that, or one guess to as to which of the two
sets it was in - if the word is in the first 100 words, it takes another bit
(guess) to determine which of the two sets of 50 words it is in; and so on
It takes between 7 and 8 bits (guesses) to find the one word in 200 words
Likewise, a 50-word meme requires 380 bits (for a 200-word vocabulary).
Nothing is indicated about the meaning or significance of the message that
results from selecting and stringing together the 50 words
ENTROPY AND INFORMATION
Because of its logarithmic
nature, the quantity of
information (entropy) needed
to isolate one item remains
very modest as the total set of
items increases enormously
If, for example, the sample
space is a 20,000-word
vocabulary, a 50-word meme
requires only 714 bits
ENTROPY AND INFORMATION A problem arises when entropy is used as a
measure of informational order and disorder
For example, a manager has a desk with
mounds of paper covering it - is this a high or
low entropy case?
The manager‟s associate cannot find a paper
he is searching for until he has made a large
number of guesses, separating the piles of
papers – a very high entropy case
But the manager knows exactly where every
paper is located – the mounds of paper are
quite organized in her mind; it would take her
no guesses to find the crucial paper – a very
low entropy case
Both cases concern the same set of items,
but two different observers
Entropy then becomes a subjective measure
of information (or a measure of the
information contained in the brain of the
observer), and this can be a disturbing
concept to some
ENTROPY AND INFORMATION
The entropy of a meme, whether long or
short, can be estimated and calculated
from the individual letters or symbols
Based on the total number in the originating
set, or from the individual words, based on
the vocabulary in the originating set
Example: the Oxford English Dictionary
contains 616,500 words and spelling bee
contestants study perhaps 614,000 of those
words; but, in reality, the average
vocabulary of an American English speaker
is estimated by various linguists as between
10,000 and 20,000 words, or optimistically
between 50,000 and 70,000 words)
The average American would actively use
only a fraction of that vocabulary
ENTROPY AND INFORMATION
Typically, there are about 800 words per
page with 12-point Times Roman font,
although publications vary considerably in
the number of words, based on page size,
format, and number of pages
Shannon calculated the entropy per letter of
an 8-letter chunk of English as 2.3 bits per
letter, using a 26-character set (although a
76-symbol, including 26 letters, set might be
generally more appropriate)
Assuming a vocabulary of 30,000 words the
entropy of a single word is about 15 bits (S =
log2 30,000 = 15 bits)
The following Table shows the entropy as a
function of the number of (English) words in
memes
Most memes of military worth are 10 – 100,000
words, or an entropy of 150 – 1,5000,000 bits
ENTROPY AS A FUNCTION OF MEME SIZE
MEME SIZE (Words) MEME SIZE
(No. of Pages)
ENTROPY
(Bits)
EXAMPLE CHARACTERIZATIONS
(Approximate)
1 0.001 15 Exclamation (Hooah! Oorah! Allah!)
10 0.01 150 Catchphrase, Slogan, Exhortation (Remember the
Maine! Death to America! Jesus loves you! When it
absolutely, positively has to get there overnight! You’ll
wonder where the yellow went when you brush your
teeth with Pepsodent!)
100 0.1 1,500 Sound-bite, Prayer, Incitement, Joke
1,000 1 15,000 Flyer, Poster, Advertisement, Notice, Propaganda
10,0000 10 150,000 Political speech, Sermon, Polemic, Article, Blog
100,000 100 1,500,000 Field manual, Ideological indoctrination, Manifesto
1,000,000 1,000 15,000,000 Bible, Koran, Abridged dictionary
10,000,000 10,000 150,000,000 Unabridged dictionary, Religious canon
100,000,000 100,000 1,500,000,000 Federal Register, Encyclopedia Britannica, Wikipedia
1,000,000,000 1,000,000 15,000,000,000 Instructions for building nuclear submarine or Apollo
spacecraft
MEMETIC METRICS AND SUBMETRICS
A Threshold Metric is Propagation
The submetrics for Propagation are
Number of Recipients
Type of Recipients and
Dispersion of Recipients
Depending on the problem under consideration, the type of recipients might be characterized or categorized by their economic, social, or educational class, ethnicity or culture, religion, gender, age, tribe, politics, etc.
Depending on the problem under consideration, the dispersion of recipients might categorized as local, tribal, familial, regional, national, global, etc.
MEMETIC METRICS AND SUBMETRICS
Another Threshold Metric is
Persistence
The submetrics for Persistence
distinguish between the Duration of
Transmission of the meme and Duration
in Memory or storage
Submetrics for metric Entropy (or size)
Distinguish among Small, Medium, and
Large, which are (using an order of
magnitude rule) characterized as less
than or equal to 100K bits, less than or
equal to 100M bits, and greater than 100
M bits, respectively
Submetrics for metric Impact
Distinguish between the impact (or
potential impact) of the meme on the
individual (individual consequence) and
its impact (or potential impact) on
society as a whole (societal
consequence)
MEMETIC METRICS AND SUBMETRICS
MEMETIC METRICSMEMETIC METRICS
PROPAGATION PERSISTENCE ENTROPY IMPACT
Number OfRecipients
Type OfRecipients
Dispersion OfRecipients
Duration OfTransmission
Duration OfMemory
Small<100K Bits
Medium<100M Bits
Large>100M Bits
IndividualConsequence
SocietalConsequence
MEMETIC METRICS AND SUBMETRICS
Memetic metrics were weighted using the Analytic Hierarchy Process (AHP)
The AHP is used to determine the relative importance (weights or priorities) of the metrics, and can be used to evaluate (score or prioritize) alternative memes and then rank-order them
The AHP simplifies decision processes through problem structuring, decomposition and pairwise comparisons and can accommodate both quantitative and subjective inputs, merge them into single overall measure for ranking alternative choices (the underlying mathematics mostly involves solving for matrix Eigenvalues)
After defining metrics and submetrics, pairwise comparisons and a numerical scoring system are used to weight the metrics and submetrics, then evaluate and rank alternative memes against the weighted metrics and submetrics
MEMETIC METRICS AND SUBMETRICS
WEIGHTED METRICS AND SUBMETRICS
The Propagation metric is deemed more
important (weighted more) than Persistence (and
the other metrics) because it is more easily
measured or estimated and more relevant
concerning memes of military worth, especially
in the near-term
The Impact metric is deemed somewhat less
important than Persistence because it is more
difficult to measure, especially in the real-world,
in the near-term (in a model, with a God‟s-eye
view, Impact might be considered the most
important metric)
The Entropy metric is deemed least important
because the size of the meme, while influential,
is not critical in its ability to propagate, persist,
and impact (alter behavior), especially for digital
media (e.g., images and videos)
WEIGHTED METRICS AND SUBMETRICS
For the Propagation submetrics,
the Number of Recipients is more
heavily weighted than the Type or
Dispersion of Recipients
submetrics because it is more
easily measured than the other
submetrics and it alone can serve
as a useful crude indicator of
successful propagation
The Type and Dispersion of
Recipients are demographic details
which refine the efficacy of the
meme‟s dispersion but are not as
important as the sheer Number of
Recipients
WEIGHTED METRICS AND SUBMETRICS
For the Persistence submetrics,
the Duration of the Transmission of
the meme is deemed somewhat
more important than Duration of
the Memory of the meme because
It is easier to measure and more
important for meme‟s of immediate
military worth
WEIGHTED METRICS AND SUBMETRICS
For the Entropy submetrics, the Small
categorization is deemed more
important than Medium, which is
deemed more important than Large
Despite meme size being less important
with digital media, the human brain is
still size and retention limited and is
generally more responsive to briefer
memes
For Impact submetrics, the Societal
Consequences of memes are deemed
more important than the Individual
Consequences (e.g., the altered
behavior of many is generally of
greater consequence than that of a
single person, even if a single person
may sometimes alter history)
PROSPECTIVE EXPERIMENTAL TOOLS AND
TECHNIQUES
Surveys and interviews
Viral (buzz) marketing
Information theory and entropy
Genetic, memetic, and evolutionary
algorithms
Modeling and simulation
Rumor propagation models (e.g., NSF
program); epidemic-like models
Rumor and gossip theory and
psychological models (e.g., Naval
Postgraduate School)
Rumor propagation dynamics on networks
Modeling theory of mind with decision-
theoretic agents (e.g., PsychSim)
Agent-based simulation of geo-political
conflict
Internet and cellphone networks
PROSPECTIVE EXPERIMENTAL TOOLS AND
TECHNIQUES Neuroeconomics tools
Neuroimaging
Functional Magnetic Resonance Imaging
(fMRI)
Positron Emission Tomography (PET)
Genetic profiling
Psychopharmacological manipulations
Psychophysiology (electromyography
(EMG), event related potential (ERP), and
electroencephalogram (EEG))
Behavioral measures
Psychological testing
Blood chemistry (and hormone) analysis
Single neuron recording
Example: FMRI scans have revealed:
Political disparities in brain areas
Mirror neurons reflecting social cues and
behavior of others and related to empathy
and altruism; lie detection